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MR2091490 81Q10 (49R50 53A04)
Benguria, Rafael D.; Loss, Michael Connection between the Lieb-Thirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane. Partial differential equations and inverse problems, 53–61, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, 2004.
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